TSTP Solution File: SYO362^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO362^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mz43RtmXtZ true

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 05:50:50 EDT 2023

% Result   : Theorem 1.53s 0.92s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (   5 unt;   5 typ;   0 def)
%            Number of atoms       :   39 (   4 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  115 (  13   ~;  17   |;   0   &;  75   @)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   34 (   7   ^;  27   !;   0   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i > $o ).

thf(cK_type,type,
    cK: ( $i > $o ) > $i > $o ).

thf(sk__type,type,
    sk_: $i > $o ).

thf('#sk46_type',type,
    '#sk46': ( $i > $o ) > $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(cTHM631A_pme,conjecture,
    ( ! [X: $i > $o,Y: $i > $o,Xw: $i] :
        ( ( cK
          @ ^ [Xz: $i] :
              ( ( Y @ Xz )
              | ( X @ Xz ) )
          @ Xw )
      <=> ( ( cK @ X @ Xw )
          | ( cK @ Y @ Xw ) ) )
   => ! [X: $i > $o,Y: $i > $o] :
        ( ! [Xx: $i] :
            ( ( X @ Xx )
           => ( Y @ Xx ) )
       => ! [Xx: $i] :
            ( ( cK @ X @ Xx )
           => ( cK @ Y @ Xx ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [X: $i > $o,Y: $i > $o,Xw: $i] :
          ( ( cK
            @ ^ [Xz: $i] :
                ( ( Y @ Xz )
                | ( X @ Xz ) )
            @ Xw )
        <=> ( ( cK @ X @ Xw )
            | ( cK @ Y @ Xw ) ) )
     => ! [X: $i > $o,Y: $i > $o] :
          ( ! [Xx: $i] :
              ( ( X @ Xx )
             => ( Y @ Xx ) )
         => ! [Xx: $i] :
              ( ( cK @ X @ Xx )
             => ( cK @ Y @ Xx ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM631A_pme]) ).

thf(zip_derived_cl3,plain,
    cK @ sk_ @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $o,X1: $i > $o,X2: $i] :
      ( ( cK
        @ ^ [Y0: $i] :
            ( ( X0 @ Y0 )
            | ( X1 @ Y0 ) )
        @ X2 )
      | ~ ( cK @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ~ ( cK @ sk__1 @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i > $o,X1: $i > $o] :
      ( ( ( ^ [Y0: $i] :
              ( ( X1 @ Y0 )
              | ( X0 @ Y0 ) ) )
       != ( ^ [Y0: $i] : ( sk__1 @ Y0 ) ) )
      | ~ ( cK @ X0 @ sk__2 ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i > $o,X1: $i > $o] :
      ( ( ( ^ [Y0: $i] :
              ( ( X1 @ Y0 )
              | ( X0 @ Y0 ) ) )
       != sk__1 )
      | ~ ( cK @ X0 @ sk__2 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i > $o] :
      ( ( ^ [Y0: $i] :
            ( ( X0 @ Y0 )
            | ( sk_ @ Y0 ) ) )
     != sk__1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl18]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i > $o] :
      ( ( ( X0 @ ( '#sk46' @ X0 ) )
        | ( sk_ @ ( '#sk46' @ X0 ) ) )
     != ( sk__1 @ ( '#sk46' @ X0 ) ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i > $o] :
      ( ~ ( sk__1 @ ( '#sk46' @ X0 ) )
      | ~ ( X0 @ ( '#sk46' @ X0 ) ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl51,plain,
    ~ ( sk__1 @ ( '#sk46' @ sk__1 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i > $o] :
      ( ( sk__1 @ ( '#sk46' @ X0 ) )
      | ( X0 @ ( '#sk46' @ X0 ) )
      | ( sk_ @ ( '#sk46' @ X0 ) ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl5,plain,
    ! [X4: $i] :
      ( ( sk__1 @ X4 )
      | ~ ( sk_ @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i > $o] :
      ( ( X0 @ ( '#sk46' @ X0 ) )
      | ( sk__1 @ ( '#sk46' @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl42,zip_derived_cl5]) ).

thf(zip_derived_cl96,plain,
    sk__1 @ ( '#sk46' @ sk__1 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl45]) ).

thf(zip_derived_cl140,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl96]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO362^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mz43RtmXtZ true
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sat Aug 26 02:22:33 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.22/0.67  % Total configuration time : 828
% 0.22/0.67  % Estimated wc time : 1656
% 0.22/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.80  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.53/0.92  % Solved by lams/40_noforms.sh.
% 1.53/0.92  % done 28 iterations in 0.068s
% 1.53/0.92  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.53/0.92  % SZS output start Refutation
% See solution above
% 1.53/0.92  
% 1.53/0.92  
% 1.53/0.92  % Terminating...
% 2.40/1.00  % Runner terminated.
% 2.40/1.01  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------